Course Archives Theoretical Statistics and Mathematics Unit
Course:
Representation theory of finite groups
Level:
Undergraduate
Time:
Currently not offered
Syllabus
Past Exams
Syllabus:
Introduction to multilinear algebra: Review of linear algebra, multilinear forms, tensor products, wedge product, Grassmann ring, symmetric product. Definition and examples of representations,; Group algebra and Maschkes Theorem, Schurs lemma, Characters and Schurs Orthogonality relations; Burnsides pq theorem, Permutation representations; Induced representations; Frobenius reciprocity law, Representation theory of symmetric groups, Random walks on groups.
Reference Texts:
(a) A. Prasad: Representation Theory: A Combinatorial Viewpoint.
(b) Benjamin Steinberg: Representation Theory of Finite Groups:An Introductory Approach.
(c) W. Fulton and J. Harris: Representation Theory, Part I.
(d) J-P Serre: Linear representations of finite groups.
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Past Exams
Midterm
24.pdf
25.pdf
Semestral
24.pdf
25.pdf
Supplementary and Back Paper
24.pdf
25.pdf
25.pdf
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